Answer: x>18.64
Step-by-step explanation:
x+6.56-6.56>25.2-6.56
x>18.64
If we know your Pythagorean Triples we can immediately recognize that the last choice is a right triangle:
8² + 15² = 17²
If you don't know your Pythagorean Triples, it's worth learning the first few off the list because teachers use them in problems all the time. But for now let's just exhaustively check the Pythagorean Theorem for each triangle. We don't have to multiply everything out; we can analyze the common factors. If two have a common factor that the third one doesn't have, there's no way for the Pythagorean Theorem to add up.
Clearly 5²+15² is a multiple of 5 but 18² isn't so that one isn't a right triangle.
6²+12² is a multiple of 6, 16² isn't a multiple of 6, not an RT.
15²-5² is a multiple of 5, 13² isn't, no joy.
8²+15² = 64 + 225 = 289 = 17² -- that's a real right triangle, a valid Pythagorean Triple.
Answer: d (A,B) = 9
Step-by-step explanation: d(A,B) = √(xB - xA)^2 + (yB - yA)^2
d(A,B) = √(8-(-1))^2 + (-3 - (-3))^2
d(A,B) = √81 + 0
d(A,B) = 9
Evaluate the volume with the given measurements.
Answer: 376.8 m^3
As we can see that the sides of the rectangle have been doubled
6.2 ft changed to 12.4 ft
Now when the sides have been doubled
the Perimeter will also be doubled
So the perimeter of new rectangle should be the double the perimeter of old rectangle
So perimeter of new rectangle = 2 (16 ) = 32 feet
Option C is correct